Sufficient conditions for the shorter curve of soliton solutions of KdV equations;

Multi-soliton solution of the Faddeev model;

Exact travelling wave solutions and concave or convex peaked and smooth soliton solutions of Camassa-Holm equation;

Peaked soliton solutions of shallow water wave equations on nonlinear strength;

Some solutions are obtained which include bright soliton solutions,dark soliton solutions,Jacobi elliptic function doubly periodical solutions,triangular solutions,and a new type of soliton solutions by this method.

By using the extended hyperbolic functions method, the exact solitary wave solutions of one-dimensional nonlinear transmission line potential equation are obtained which include bell-shaped soliton solution and singular soliton solutions.

Novel multi-soliton solutions of the breaking soliton equation;

Bcklund transformation of Burgers equation by the improved homogeneous balance method was pushed out,To the above effect,general formal exact solutions,multi-soliton solutions were obtained,with thr.

The exact expression of multi-soliton solutions to the KdV-mKdV equation is obtained by Hirota method and the interaction process of multi-soliton is described by numerical figures.

In this paper, by using the homogeneous balance method and Mathematica, we have obtained new multisoliton solutions of this equations.

First we obtain new multisoliton solutions of Burgers equation by using a homogeneous balance method;then give multisoliton solutions of Whitham-Broer-Kaup (WBK) equations by using a kind of transformation.